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Question

The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find the sum of their present ages.

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Solution

The ratio of Hari's and Harry's present ages is 5:7

So, let their ages be 5x and 7x

After 4 years their ages will be in ratio 3:4

Therefore,(5x+4)/(7x+4)=3/4

or, 4(5x+4)=3(7x+4)

or, 20x+16=21x+12

or, 1612=21x20x

or, 4=1x

or, x=4

Therefore, present age of Hari = 5x=(5×4)=20 years.
Present age of Harry =7x=(7×4)=28 years
The sum of their age is 28+20=48years

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